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Finding the Fourth Proportional to 84.52, 116.54 and 75.28

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Solution

The fourth proportional to 84.52, 116.54 and 75.28 is: 103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 116.54 = 75.28 : x
  2. Step 2: Convert to fraction form
    84.52/116.54 = 75.28/x
  3. Step 3: Cross multiply
    84.52x = 116.54 × 75.28
  4. Step 4: Simplify right side
    84.52x = 8,773.13
  5. Step 5: Solve for x
    x = 8,773.13/84.52
  6. Step 6: Final answer
    x = 103.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.